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A Study of Some Nonlinear Partial Differential Equations by Using Adomian Decomposition Method and Variational Iteration Method
Department of Mathematics, Faculty of Science, Zagazig University, Zagazig, Egypt
- 1 Department of Mathematics, Faculty of Science, Zagazig University, Zagazig, Egypt
American Journal of Computational Mathematics·Volume 05 (2015)·Pages 195–203·Published 13 May 2015·DOI10.4236/ajcm.2015.52016
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Abstract
In this paper, a numerical solution of nonlinear partial differential equation, Benjamin-Bona-Mahony (BBM) and Cahn-Hilliard equation is presented by using Adomain Decomposition Method (ADM) and Variational Iteration Method (VIM). The results reveal that the two methods are very effective, simple and very close to the exact solution.
KeywordsWave VariablesAdomian Decomposition Method (ADM)Variational Iteration Method (VIM)Nonlinear Partial Differential Equation PDEsBBM and Cahn-Hilliard Equations
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